Arithmetic Readiness and Repair: mastery check

Convert $72$ kilometers per hour to kilometers per minute.

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Convert $5$ square feet to square inches.

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A car travels $180$ miles in $3$ hours. Find its average speed with units.

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At $60$ miles per hour for $2.5$ hours, find distance.

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Which can be added directly: $3$ meters $+ 40$ centimeters or $3$ meters $+ 4$ seconds?

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Evaluate $3 m + 40$ cm in meters.

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Check $d = \frac{v}{t}$ dimensionally.

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Check area $=$ length $+$ width dimensionally.

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A density is $\frac{8 g}{cm^{3}}$ and volume is $5 cm^{3}$. Find mass.

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A student converts $2$ hours using $\frac{60 hr}{1}$ min. Repair the factor.

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Convert $10$ meters per second to meters per minute.

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Explain why $1 m^{2}$ is not $100 cm^{2}$.

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A formula gives energy in $\frac{kg\cdot m^{2}}{s^{2}}$. Confirm that force times distance has the same units if force is $\frac{kg\cdot m}{s^{2}}$.

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Convert $72$ kilometers per hour to meters per second.

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Convert $2.5 m^{2}$ to $cm^{2}$ and explain why the factor is squared.

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A material has density $\frac{7.8 g}{cm^{3}}$ and volume $25 cm^{3}$. Find its mass and show the unit cancellation.

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A student converts $3 m^{3}$ to $300 cm^{3}$. Diagnose the scale error.

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Evaluate$$5^{3}$$

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Evaluate$$(-2)^{4} \qquad -2^{4}$$

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Simplify$$x^{4}\cdot x^{7}$$

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Simplify $\frac{y^{9}}{y^{3}}$ for $y \ne 0$.

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Simplify$$(a^{3})^{4}$$

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Rewrite $3^{-2}$ with a positive exponent.

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Evaluate$$\sqrt{144}$$

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